What is about the prime factorisation of denominator of 27.142857(bar is on whole after decimal)

Asked by gargnakul | 1st Feb, 2019, 05:49: PM

Expert Answer:

begin mathsize 16px style straight x equals 27.142857 with bar on top space space..... left parenthesis straight i right parenthesis
1000000 straight x equals 27142857.142857 with bar on top space.... left parenthesis ii right parenthesis
Subtracting space left parenthesis straight i right parenthesis space from space left parenthesis ii right parenthesis
1000000 straight x minus straight x equals 27142857.142857 with bar on top space minus space 27.142857 with bar on top
999999 straight x equals 27142830
straight x equals 27142830 over 999999
straight x equals fraction numerator 27142830 over denominator 3 cross times 3 cross times 111111 end fraction
end style

Answered by Sneha shidid | 4th Feb, 2019, 10:10: AM